NCERT Solutions for Class 9 (original) (raw)

Last Updated : 21 Aug, 2025

**NCERT Solutions for Class 9 covers all the subjects including Maths, Science, Social Science, English, and Hindi. These NCERT solutions contain all the topics that are in the **CBSE Class 9 syllabus.

The NCERT Solutions for Class 9 provides an understanding of the concepts covered in these subjects. Each subject is divided into chapters and each Chapter is further divided into topics. The NCERT Solutions for each chapter provide detailed explanations of the concepts and step-by-step solutions to the questions in NCERT Class 9.**

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NCERT Solutions for Class 9 in HINDI

**NCERT Solutions **for Class 9 All Subjects can be used as a valuable resource to help students achieve their aim to score better marks in the final exam of Class 9 and the CBSE Board exam of Class 10. Our platform offers chapter-specific NCERT solutions aligned with **Class 9 NCERT Solutions for all subjects including **NCERT Solutions for Class 9 Maths . Crafted by experts, these solutions are user-friendly and effective, serving as a swift homework completion aid. Be it homework, exam preparation, or quick review, rely on our **Class 9 Maths NCERT solutions PDF Download for academic triumph. Bookmark this page for instant accessibility and consider sharing these solutions with friends to support their homework and exam requirements.

NCERT Solutions for Class 9 Subject-wise : PDF Download

**NCERT Solutions for Class 9 Maths

**NCERT Solution Class 9 Maths Chapters-wise Solved
**Chapter 1: Number System **Chapter 9: Areas of Parallelograms and Triangles
**Chapter 2: Polynomials **Chapter 10: Circles
**Chapter 3: Coordinate Geometry **Chapter 11: Constructions
**Chapter 4: Linear Equations in Two Variables **Chapter 12: Heron's Formula
**Chapter 5: Introduction to Euclid’s Geometry **Chapter 13: Surface Area and Volumes
**Chapter 6: Lines and Angles **Chapter 14: Statistics
**Chapter 7: Triangles **Chapter 15: Probability
**Chapter 8: Quadrilateral

**NCERT Solutions for Class 9 Maths in Hindi

Chapters Covered in Class 9 Maths NCERT Solutions

Chapter wise Importance of NCERT Class 9 Maths

The NCERT textbook of Class 9 Maths comprises 15 chapters, each designed to provide students with a clear understanding of the subject matter, thoroughly preparing them for the Class 9 Math topics.

**NCERT Class 9 Maths Chapter 1 - Number System

This chapter extends the concepts introduced in the prior "Number Line" chapter. It guides you on placing diverse numbers on the number line, emphasizing the positioning of square roots like √2 and √3. Key topics include terminating decimals, non-rational numbers, rationalization, laws of exponents, and integral powers. Delve into understanding natural numbers, whole numbers, integers, and more. Practice with exercises, explore examples, and grasp the properties of rational and irrational numbers, along with understanding the laws of radicals.

**NCERT Class 9 Maths Chapter 2 - Polynomials

This NCERT Class 9 Chapter 2 introduces polynomial algebraic expressions, defining terms like coefficients, degrees, and types such as quadratic and cubic polynomials. Explore key topics like zero polynomials, factor theorems, and factorization theorems. Practice extensively with questions and learn definitions and formulas for a comprehensive understanding. Utilize **NCERT solutions Maths Class 9 for additional support, focusing on crucial topics like factor and remainder theorems.

**NCERT Class 9 Maths Chapter 3 - Coordinate Geometry

This chapter, consisting of three exercises, delves into coordinate geometry. Covering the Cartesian plane, it introduces terms related to coordinates and guides you in plotting points on the XY plane. Key topics include Cartesian coordinates, plotting points in different quadrants, and graphing on the Cartesian plane. Enhance your understanding by solving questions and practicing examples.

**NCERT Class 9 Maths Chapter 4 - Linear Equations in Two Variables

In Class 9 Maths Chapter 4, you'll learn to represent a linear equation graphically and find solutions with two variables. Practice questions, master the formulas, and understand topics like lines passing through the origin, lines parallel to coordinate axes, and solutions of linear equations graphically. Ensure a solid grasp by working through examples before tackling exercise questions.

**NCERT Class 9 Maths Chapter 5 - Introduction to Euclid’s Geometry

This chapter introduces geometric terms and shapes with two exercises emphasizing the relationships between theorems, postulates, and axioms. Showcase the connections between axioms and theorems. It's a crucial chapter in **class 9th NCERT, focusing on learning postulates and theorems. Explore examples for better comprehension. While straightforward, ensure thorough understanding as it can contribute to a high score. The chapter contains only two exercises, so mastery of both is essential.

**NCERT Class 9 Maths Chapter 6 - Lines and Angles

Class 9 Maths Chapter 6 covers key theorems related to angles and lines with two exercises. Topics include the sum of triangle angles (always 180°), properties of linear pairs, and angles formed by lines parallel to the same line. This chapter is crucial; pay close attention, solve all exercises, and use NCERT Class 9 Maths solutions for a clear understanding of angles, triangles, and related concepts.

**NCERT Class 9 Maths Chapter 7 - Triangles

Chapter 7 of NCERT Class 9 Maths focuses on congruence rules, triangle properties, and inequalities. It's crucial to score well; thoroughly practice topics such as triangle sides, hypotenuse theorem, and proving SSS, ASA, SAS congruence. Master properties of triangles, triangle inequalities, and the LHS and RHS criteria for congruence. These are key concepts for a comprehensive understanding of the chapter.

**NCERT Class 9 Maths Chapter 8 - Quadrilaterals

This chapter explores quadrilaterals, their properties, and their combination with triangles. Emphasis is on proving theorems and formulas, covering types of quadrilaterals with short and long answer questions. Learn to calculate angles of quadrilaterals and practice exercises for a comprehensive understanding.

**NCERT Class 9 Maths Chapter 9 - Areas of Triangles and Parallelogram

Class 9 Maths Chapter on area is crucial for understanding triangle and parallelogram areas. Success in the exam depends on thorough preparation. With three exercises, solving all is essential. Practice numerous examples for a strong grasp, including proving conditions of given diagrams. As this chapter involves many theorems, diligent study and practice are key for success.

**NCERT Class 9 Maths Chapter 10 - Circles

Class 9 Chapter 10 is vital and engaging, covering circles, chords, subtended angles, and distance calculation from a chord to the circle center. Learn the circle definition and formulas for area, perimeter, and circumference. Master theorems and proofs, review properties, and solve examples before tackling exercise questions.

**NCERT Class 9 Maths Chapter 11 - Constructions

This vital chapter emphasizes triangle construction, bisectors on line segments, and measuring angles like 45°, 60°, and 90°. Questions from this chapter carry significant marks. Topics include triangle construction and line segment bisectors. Thorough understanding and practice are crucial for success.

**NCERT Class 9 Maths Chapter 12 - Heron’s Formula

This chapter guides you in calculating the area of triangles, various polygons, and quadrilaterals. Specifically, you'll explore the application of Heron's formula for determining the area of a triangle.

**NCERT Class 9 Maths Chapter 13 - Surface Areas and Volume

This chapter builds upon your prior knowledge of mensuration, focusing on surface areas. Key topics include volume calculations for cubes, cylinders, cuboids, cones, hemispheres, and spheres. Learn to convert between figures and compare their volumes. Focus on finding total and lateral surface areas for cubes and cuboids, and practice questions related to volumes and capacity, including right circular cones and cylinders.

**NCERT Class 9 Maths Chapter 14 - Statistics

This chapter focuses on descriptive statistics and data collection, essential for interpreting and presenting results. Learn data sorting, grouping, and analysis techniques, including creating bar graphs, frequency polygons, histograms, etc. Explore mean, mode, and median concepts, and practice solving exercise questions and creating graphs for a comprehensive understanding.

**NCERT Class 9 Maths Chapter 15 - Probability

Class 9 Maths Chapter 15 on Probability features engaging questions rooted in everyday scenarios, simplifying understanding. This important chapter requires dedicated practice, and students using Class 9 NCERT solutions can enhance their chances of scoring well.

**NCERT Solutions for Class 9 Science

**NCERT Solutions Class 9 Science Chapters-wise List
**Chapter 1: Matter in Our Surroundings **Chapter 9: Force and Laws of Motion
**Chapter 2: Is Matter Around Us Pure? **Chapter 10: Gravitation
**Chapter 3: Atoms and Molecules **Chapter 11: Work and Energy
**Chapter 4: Structure of the Atom **Chapter 12: Sound
**Chapter 5: The Fundamental Unit of Life **Chapter 13: Why do we Fall I'll?
**Chapter 6: Tissues **Chapter 14: Natural Resources
**Chapter 7: Diversity in the Living Organism **Chapter 15: Improvement in Food Resources
**Chapter 8: Motion

NCERT Solutions for Class 9 Social Science: History – India and Contemporary World II

History – India and Contemporary World II Chapters List
**NCERT Solutions Class 9 Science Chapters-wise List
**Chapter 1: The French Revolution
**Chapter 2: Socialism in Europe and the Russian Revolution
**Chapter 3: Nazism and the Rise of Hitler
**Chapter 4: Forest Society and Colonialism
**Chapter 5: Pastoralists in the Modern World

**NCERT Solutions for Class 9 Social Science: Geography - Contemporary India

**Geography - Contemporary India I Chapters List
**Chapter 1: India-Size and Location
**Chapter 2: Physical Features Of India
**Chapter 3: Drainage
**Chapter 4: Climate
**Chapter 5: Natural Vegetation and Wildlife
**Chapter 6: Population

**NCERT Solutions for Class 9 Social Science: Political Science (Civics)- Democratic Politics I

**Political Science(Civics)- Democratic Politics I
**Chapter 1: What is Democracy? Why Is Democracy?
**Chapter 2: Constitutional Design
**Chapter 3: Electoral Politics
**Chapter 4: Working of Institutions
**Chapter 5: Democratic Rights

**NCERT Solutions for Class 9 Social Science: Economics

**Economics
**Chapter 1: The Story of Village Palampur
**Chapter 2: People as Resource
**Chapter 3: Poverty as a Challenge
**Chapter 4: Food Security in India

**NCERT Solutions for Class 9 English

**NCERT Solutions for Class 9 English: Beehive

**NCERT Solutions Class 9 English: Beehive Chapters List
**Chapter 1: The Fun They Had / Poem: The Road Not Taken **Chapter 7: Packing/ Poem: The Duck and the Kangaroo
**Chapter 2: The Sound of Music /Poem: Wind **Chapter 8: Reach for the Top/ Poem: On Killing a Tree
**Chapter 3: The Little Girl / Poem: Rain on the Roof **Chapter 9: The Bond of Love / Poem: The Snake Trying
**Chapter 4: A Truly Beautiful Mind / Poem: A Legend of the Northland **Chapter 10: Kathmandu / Poem: A Slumber Did My Spirit Seal
**Chapter 5: The Snake and the Mirror / Poem: A Legend of the Northland **Chapter 11: If I Were You
**Chapter 6: My Childhood / Poem: No Men Are Foreign

**NCERT Solutions for Class 9 English: Moments

**NCERT Solutions for Class 9 English: Moments
**Chapter 1: The Lost Child **Chapter 6: Weathering the Storm in Ersama
**Chapter 2: The Adventures of Toto **Chapter 7: The Last Leaf
**Chapter 3: Iswaran the Storyteller **Chapter 8: A House Is Not a Home
**Chapter 4: In the Kingdom of Fools **Chapter 9: The Accidental Tourist
**Chapter 5: The Happy Prince **Chapter 10: The Beggar

Importance of **NCERT Solutions For Class 9 All Subjects

**NCERT solutions for class 9 are essential tools to provide basic content of driven for amazed content written accordingly and changed the perceived and can be driven from an amazing content of the book. This can be written

Conclusion

NCERT solutions of Class 9 are essential for students as they provide coverage of the syllabus, are authentic and reliable, help in building a strong foundation, and are easy to understand which helps in exam preparation.

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